scholarly journals An optimal capacity assignment for the robust design problem in capacitated flow networks

2012 ◽  
Vol 36 (11) ◽  
pp. 5272-5282 ◽  
Author(s):  
Shin-Guang Chen
Keyword(s):  
Robust Design ◽  
Design Problem ◽  
Flow Networks ◽  
Optimal Capacity ◽  
Capacity Assignment

scholarly journals A genetic algorithm to solve the robust design problem for a Flow Network with Node Failure

2020 ◽  
Vol 8 (4) ◽  
pp. 01-10
Author(s):  
Noha Hamdy ◽  
Moatamad Refaat Hassan ◽  
Mohamed Eid Hussein
Keyword(s):  
Genetic Algorithm ◽  
Robust Design ◽  
Design Problem ◽  
Network Reliability ◽  
Approximate Algorithm ◽  
Node Failure ◽  
Flow Network ◽  
Optimal Capacity ◽  
Optimal Node ◽  
Node Capacity

The robust design problem in a flow network is defined as search optimal node capacity that can be assigned such that the network still survived even under the node’s failure. This problem is considered as an NP-hard. So, this paper proposes a genetic algorithm-based approach to solve it for a flow network with node failure. The proposed based genetic approach is used to assign the optimal capacity for each node to minimize the total capacities and maximize the network reliability. The proposed approach takes the capacity for each critical node should have the maximum capacity (usually equals to the demand value) to alleviate that the reliability to drop to zero. Three network examples are used to show the efficiency of our algorithm. Also, the results obtained by our approach are compared with those obtained by the previous approximate algorithm.

A Model-Based Formulation of Robust Design

2005 ◽  
Vol 127 (3) ◽  
pp. 388-396 ◽  
Author(s):  
Khalid Al-Widyan ◽  
Jorge Angeles
Keyword(s):  
Covariance Matrix ◽  
Robust Design ◽  
Design Problem ◽  
Engineering Systems ◽  
Design Environment ◽  
Design Task ◽  
Model Based ◽  
Functional Relations ◽  
Design Variables ◽  
Environment Parameters

Laid down in this paper are the foundations on which the design of engineering systems, in the presence of an uncontrollable changing environment, can be based. The changes in environment conditions are accounted for by means of robustness. To this end, a theoretical framework as well as a general methodology for model-based robust design are proposed. Within this framework, all quantities involved in a design task are classified into three sets: the design variables (DV), grouped in vector x, which are to be assigned values as an outcome of the design task; the design-environment parameters (DEP), grouped in vector p, over which the designer has no control; and the performance functions (PF), grouped in vector f, representing the functional relations among performance, DV, and DEP. A distinction is made between global robust design and local robust design, this paper focusing on the latter. The robust design problem is formulated as the minimization of a norm of the covariance matrix of the variations in PF upon variations in the DEP, aka noise in the literature on robust design. Moreover, one pertinent concept is introduced: design isotropy. We show that isotropic designs lead to robustness, even in the absence of knowledge of the statistical properties of the variations of the DEP. To demonstrate our approach, a few examples are included.

Robust Mechanical Design Using Engineering Models

1995 ◽  
Vol 117 (B) ◽  
pp. 48-54 ◽  
Author(s):  
A. Parkinson
Keyword(s):  
Robust Design ◽  
Design Problem ◽  
Mechanical Design ◽  
Check Valve ◽  
Valve Design ◽  
Robust Designs ◽  
Linkage Design ◽  
Engineering Models ◽  
Transmitted Variation

This paper examines how engineering models can be used to develop robust designs—designs that can tolerate variation. Variation is defined in terms of tolerances which bracket the expected deviation of model variables and/or parameters. Several methods for robust design are discussed. The method of transmitted variation is explained in detail and illustrated on a linkage design problem and a check valve design problem.

Robust Mechanical Design Using Engineering Models

1995 ◽  
Vol 117 (B) ◽  
pp. 48-54 ◽  
Author(s):  
A. Parkinson
Keyword(s):  
Robust Design ◽  
Design Problem ◽  
Mechanical Design ◽  
Check Valve ◽  
Valve Design ◽  
Robust Designs ◽  
Linkage Design ◽  
Engineering Models ◽  
Transmitted Variation

This paper examines how engineering models can be used to develop robust designs—designs that can tolerate variation. Variation is defined in terms of tolerances which bracket the expected deviation of model variables and/or parameters. Several methods for robust design are discussed. The method of transmitted variation is explained in detail and illustrated on a linkage design problem and a check valve design problem.

scholarly journals A set strategy approach for multidisciplinary robust design optimization under interval uncertainty

2019 ◽  
Vol 11 (1) ◽  
pp. 168781401882038 ◽  
Author(s):  
Yongsheng Yi ◽  
Wei Li ◽  
Mi Xiao ◽  
Liang Gao
Keyword(s):  
Design Optimization ◽  
Robust Design ◽  
Design Problem ◽  
Design Space ◽  
System Optimization ◽  
Interval Uncertainty ◽  
Robust Design Optimization ◽  
Sequential Optimization ◽  
Air Cooling ◽  
Wide Range

Uncertainties widely exist in complex engineering systems. Robust design is one of the most used method for designing under uncertainty and has been gaining more attention. For the wide range of uncertainties, this article proposes a multidisciplinary robust design optimization method based on the set strategy. In this method, a robust design model that utilizes the maximum variation analysis is developed for uncertainty analysis. Then, a set strategy–based approach is employed to build a system optimization model, which is used to coordinate the coupling variables between full autonomy subsystems and obtains a new design space. Finally, the system robust optimal solution and the optimal robust design space are obtained through the sequential optimization, which provide a direction for the subsequent analysis. Two mathematics examples and the speed reducer design problem are taken to verify the validity and accuracy of the proposed method. A practical engineering problem, namely, air cooling battery thermal management system design problem, is successfully solved by the proposed method.

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